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# The Asymptotics of an Amplitude for the 4-simplex

@inproceedings{Barrett1999TheAO, title={The Asymptotics of an Amplitude for the 4-simplex}, author={John W. Barrett and Ruth Mary Williams}, year={1999} }

- Published 1999

An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional face in the 4-simplex. The asymptotic formula has a contribution from each flat Euclidean metric on the 4-simplex which agrees with the given areas. The oscillatory part of each contribution is determined by the Regge calculus Einstein action for that geometry.

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